Finite Semigroups and Universal Algebra (Series in Algebra,...

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Finite Semigroups and Universal Algebra...

Finite Semigroups and Universal Algebra (Series in Algebra, Vol 3)

Name: Finite Semigroups and Universal Algebra (Series in Algebra, Vol 3)
ISBN: 9789810218959

Jorge Almeida

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Motivated by applications in theoretical computer science, the theory of finite semigroups has emerged in recent years as an autonomous area of mathematics. It fruitfully combines methods, ideas and constructions from algebra, combinatorics, logic and topology. In simple terms, the theory aims at a classification of finite semigroups in certain classes called "pseudovarieties". The classifying characteristics have both structural and syntactical aspects, the general connection between them being part of universal algebra. Besides providing a foundational study of the theory in the setting approach to finite semigroups. This involves studying (relatively) free and profinite free semigroups and their presentations. The techniques used are illustrated in a systematic study of various operators on pseudovarieties of semigroups.

Категории:

Mathematics

Год:

1995

Язык:

english

Страницы:

517

ISBN 10:

9810218958

ISBN 13:

9789810218959